ar X iv : m at h - ph / 0 21 00 55 v 3 6 J an 2 00 3 Lanczos ’ s equation as a way out of the spin 3 / 2 crisis ?

55 v 2 2 9 N ov 2 00 2 Lanczos ’ s equation as a way out of the spin 3 / 2 crisis ?

It is shown (1) that Lanczos’s quaternionic formulation of Dirac’s equation does not lead to a solution of the problems that plague the standard spin 3/2 theory based on the Rarita-Schwinger equation, but (2) that the fourcomponent solutions to the quaternionic generalization of Dirac’s equation proposed by Lanczos in 1929 may provide a consistent theory for spin 3/2 particles, although at the ...

ar X iv : h ep - l at / 0 11 00 06 v 3 6 N ov 2 00 1 1 Matrix elements of ∆ S = 2 operators with Wilson fermions

ar X iv : m at h - ph / 0 31 00 10 v 1 8 O ct 2 00 3 Obstructions , Extensions and Reductions . Some applications of Cohomology ∗

After introducing some cohomology classes as obstructions to orientation and spin structures etc., we explain some applications of cohomology to physical problems, in especial to reduced holonomy in M and F -theories.

ar X iv : 0 80 6 . 05 21 v 1 [ he p - ph ] 3 J un 2 00 8 Theory of Scalars

Outline:

ar X iv : 0 70 7 . 03 46 v 1 [ m at h - ph ] 3 J ul 2 00 7 THE ONE - DIMENSIONAL SCHRÖDINGER - NEWTON EQUATIONS

We prove an existence and uniqueness result for ground states of one-dimensional Schrödinger-Newton equations.